I really dislike riding through crosswalks. They're often a bad situation all around, and I think, locally at least, they are where the majority of bike/car injury collisions occur. The local law is that cyclists must dismount and walk their bike across intersection crosswalks, even if they're part of a bike path, yet people rarely do. I usually just pull my feet out of the pedal clips and onto the back of the pedals and ride about 6 mph so I am moving about the same speed as a jogger and can bail easily if need be. Furthermore, I'm watching every car at the intersection like a hawk. Though there are a couple of hairy intersections around town that I do sometimes dismount and walk though because there's always some idiot making a turn and not paying attention...

Regarding right-of-way, you were in the right, she was in the wrong, but none of that would have really mattered had there been a collision. At least you and your bike made it safely through, and now you know that intersection deserves a bit more scrutiny.